2 papers
math.AP2006
On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case
Nabile Boussaid
We study the behavior of perturbations of small nonlinear Dirac standing waves. We assume that the linear Dirac operator of reference has only two double eigenvalues and…
math-ph2005
Stable directions for small nonlinear Dirac standing waves
Nabile Boussaid
We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates. When this linear oper…